Find the length of side
x in simplest radical form with a rational denominator.
Thanks in advance
Answers
Answer:
2
Step-by-step explanation:
Pythagoras. c² = a² + b²
since both "side angles" are equal (45 degrees), we know it is an isosceles triangle, that means also the other side = x.
and so,
8 = x² + x² = 2x²
4 = x²
x = 2
Answer:
x = 2
Step-by-step explanation:
sin(45)/x = sin(90)/[tex]\sqrt{8}[/tex]
[tex]\sin \left(45^{\circ \:}\right)=\frac{\sqrt{2}}{2}[/tex]
x = [tex]\sqrt{8}[/tex] [tex]\sin \left(45^{\circ \:}\right)[/tex]
[tex]x = \sqrt{8} \frac{\sqrt{2}}{2}[/tex]
x = [tex]\frac{\sqrt{16} }{2}[/tex]
x = 4/2
x = 2
Related Questions
Ms Perez khẳng định rằng: Có khả năng công ty của cô ấy sẽ mở chi nhánh ở Phoenix (thành phố thủ phủ của tiểu bang Arizona, Mỹ). Khi đó, cô ấy có khả năng sẽ được bổ nhiệm là giám đốc ở chi nhánh mới. Tìm khả năng để Ms Perez trở thành giám đốc ở Phoenix
Answers
Answer:
Could you ask your question in English?
Step-by-step explanation:
A school has 4 different after school activities planned in the fall Janet has time to participate in 2 of these activities. How many different pairs of after-school activities can Janet choose from the available activities?
Answers
Answer:
6
Step-by-step explanation:
Of 4 options, Janet has to choose 2. This is combinations as A and B is the same as B and A.
Combinations formula gives us 4!/ 2!2! , or 6.
1 simplify 6x64 ÷ 16 +7-21
Answers
Answer:
10
Step-by-step explanation:
A pollster wants to minimize the effect the order of the questions has on a person's response to a survey. How many different surveys are required to cover all possible arrangements if there are 8 questions on the survey
Answers
Answer:
40320 different surveys would be necessary ...
Step-by-step explanation:
let's start small :
how many are required for 2 questions ?
well, 2 (we can either ask question 1 first and then question 2, or question 2 first and then question 1).
how many for 3 questions ?
well, we have a choice of 3 questions to be asked first. but then for the second and third question we are back in the previous problem of 2 (remaining) questions.
so, we multiply the 3 initial options with the 2 following options. 3×2 = 6
how many for 4 questions ?
well, we have a choice of 4 questions as first question, and then fit the rest we are back in the previous problem of 3 questions. 4×3×2 = 24
you see the pattern ?
yes, that continues as far as we want to go.
for our example the problem was about 8 questions.
so,
8×7×6×5×4×3×2 = 8! = 40320
Damaris will be working at the local pool over his ten-week summer break. His net pay will be $167.30 each week. He hopes to have enough money to purchase a new pair of shoes that cost $175 by the end of his break. What percent of his net pay does Damaris need to save each week to reach his goal? Round to the nearest hundredth. (2 points)
1.05%
10.46%
11.37%
Answers
Damaris needs to save 10.46% of his net pay each week to purchase the new pair of shoes by the end of his break.
Given:
Net pay per week is $167.30Cost of new pair of shoes is $175Summer break is for 10 weeksTo find: The percentage of his net pay that Damaris needs to save each week to purchase the shoes by the end of his break
Let us assume that Damaris needs to save x% of his net pay each week to buy the shoes by the end of his break.
Then, savings per week is x% of $167.30, that is,
[tex]\frac{x}{100}\times 167.30[/tex]
Then, his savings for 10 weeks is,
[tex]10 \times \frac{x}{100}\times 167.30[/tex]
Since the summer break is for 10 weeks, Damaris' savings for the entire summer break is,
[tex]10 \times \frac{x}{100}\times 167.30[/tex]
Damaris wants to buy the new pair of shoes by then end of the break. Then, his savings for the entire summer break should equal the cost of the new pair of shoes.
It is given that the cost of the new pair of shoes is $175.
Then, according to the problem,
[tex]10 \times \frac{x}{100}\times 167.30 =175[/tex]
[tex]x=\frac{175\times 100}{10\times167.30}[/tex]
[tex]x=10.460251[/tex]
Rounding to the nearest hundredth, we have,
[tex]x=10.46[/tex]
Thus, Damaris needs to save [tex]10.46[/tex]% of his net pay each week to buy the shoes by the end of his break.
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On the first day of a two-day meeting, 10 coffees and 10 doughnuts were purchased for a total of $20.00. Since nobody drank the coffee and all the doughnuts were eaten, the next day only 2 coffees and 14 doughnuts were purchased for a total of $13.00. How much did each coffee and each doughnut cost?
Answers
Answer:
1.25 dollars- the value of each coffee
0.75 dollars- the value of each doughnut
Step-by-step explanation:
Suppose that value of one coffee is x dollars, when one doughnut costs y dollars. The value o 10 coffee is 10x, when 10 doughnuts cost 10y. The sum is 10x+10y and it is 20.
10x+10y= 20 (we can divide each part by 10)
x+y=2
2coffee cost 2x, 14 doughnuts cost 14y
2x+14y=13 (it can be divided by two)
x+7y=6.5
We have the system of equations x+y=2, x+7y=6.5
Subtract the first equation from the second one (the left side of the first equation from the left side
x+7y - (x+y)= 6.5-2
6y=4.5
y=4.5/6= 3/4 = 0.75 dollars- the value of each doughnut
x=2-0.75=1.25 dollars- the value of each coffee
Jack’s backpack weighs 15 pounds. Fernando’s backpack weighs less than Jack’s. Which graph shows how much Fernando’s backpack can weigh?
Answers
Answer:
A
Step-by-step explanation:
c and d out of the question
b has its circle filled in meaning it could be 15lbs, which it's not
A correct answer by default
Answer:b
Step-by-step explanation: it has a filled in diamond which mean it's that...
1. A tank is 3/5 full of water. After 330 litres of water is drawn out, it becomes 2/7 full. Find the capacity of the tank in litres.
Answers
Answer:
1050
Step-by-step explanation:
Let x = full capacity
[tex]\frac{3}{5} x=\frac{2}{7} x+330[/tex]
Move the variable to the left side by subtracting both sides by [tex]\frac{2}{7} x[/tex]
[tex]\frac{3}{5} x-\frac{2}{7}x=\frac{2}{7} x+330 -\frac{2}{7}x[/tex]
[tex]\frac{3}{5} x-\frac{2}{7} x=330[/tex]
Combine the like terms (don't forget about common denominator)
[tex]\frac{21}{35} x-\frac{10}{35} x=330[/tex]
[tex]\frac{11}{35} x=330[/tex]
Multiply both sides by [tex]\frac{35}{11}[/tex] to isolate the x
[tex](\frac{35}{11})\frac{11}{35} x=330(\frac{35}{11})[/tex]
[tex]x = 1050[/tex]
01.06) A rectangular cardboard has dimensions.as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of the cardboard in inches? Area = 36 square inches 4 width = 4 inches length=? 08 O O 20 0154 7 20 Is Question Question 1 (Answered) D Nex
Answers
Step-by-step explanation:
9 inches
fill in the missing. 1:1000=1cm:_?
Answers
Answer:
meter
10 meters
Or
a dekameter
Lilly makes $6.35 using only 5 cemts coins.
How many 5 cent coins does she need?
Answers
Answer:
127
Step-by-step explanation:
turn $ 6.35 into 635 and divided by 5
The number line shows the record low temperatures for four states.. what is the difference, between the low temperature in Hawaii and the low temperatures In south Dakota
A -70°F
B -46°F
C 46°F
D 70°F
Answers
Answer:
D 70°F
Step-by-step explanation:
Difference between temperature in Hawaii and in South Dakota is 12°F - (-58°F) = 12°F + 58°F = 70 °F
Write a word phrase for each algebraic expression.
13. n + 6
14. 5 - c
15. 11.5 + y
17. 3x + 10
16. x/4 - 17
18. 10x + 7z
Answers
Step-by-step explanation:
6 more than nc is subtracted from 5y more than 11.510 more than thrice of x17 less than x divided by 4The product of 7 and z is added to the product of 10 and x.please help me
no links or files
thank you !
Jane is saving to buy a cell phone. She is given a $100 gift to start and saves $35 a month from her allowance. So after one month, Jane has saved $135. Does it make sense to represent the relationship between the amount saved and the number of months with one constant rate? Why or why not? Explain your answer.
Answers
Jane is given a $100 gift to start and saves $35 a month from her allowance.
After 1 month, Jane has saved
After 2 months, Jane has saved
After three months, Jane has saved
and so on
In general, after x months Jane has saved
This means that it makes sense to represent the relationship between the amount saved and the number of months with one constant rate (in this case the constant rate is 35). It makes sense because the amount of money increases by $35 each month. Since the amount of increase is constant, we get constant rate. Also the initial amount is known ($100), so there is a possibility to write the equation of linear function representing this situation.
Step-by-step explanation:
show working to this question
Answers
Answer:
Step-by-step explanation:
A = {p, q, r}
Subsets: {p,q,r}, {p,q}, {p,r}. {q,r}, {p}, {q}, {r}, ∅
::::
Slope of RT = (-7/2 - 0)/(-3/2 - 0) = 7/3
Point-slope equation for line of slope 7/3 that passes through (0,0):
y = (7/3)x
Toán cao cấp, giải tích..............
Answers
Answer:
I don't know ur Language .......
Find the surface area of the cylinder and round to the nearest tenth and its recommended that you use pie or 3.14 also the radius is half the diameter
Answers
Diameter=d=2ft
Radius=d/2=2/2=1ftHeight=h=2ftWe know
[tex]\boxed{\sf Lateral\:Surface\:Area=2πrh}[/tex]
[tex]\\ \sf\longmapsto Lateral\: Surface\:Area=2\times 3.14\times 2\times 1[/tex]
[tex]\\ \sf\longmapsto Lateral\;Surface\:Area=4(3.14)[/tex]
[tex]\\ \sf\longmapsto Lateral\:Surface\:Area=12.56ft^3[/tex]
[tex]\begin{gathered} {\underline{\boxed{ \rm { \purple{Surface \: \: area \: = \: 2 \: \pi \: r \: h \: + \: 2 \: \pi \: {r}^{2} }}}}}\end{gathered}[/tex]
r represents radius of cylinder.h denotes height of cylinder.Solution[tex]\large{\bf{{{\color{navy}{h \: = \: 2 \: ft. }}}}}[/tex]
[tex]\bf \large \longrightarrow \: \: r \: = \: \frac{Diameter}{2} [/tex]
[tex]\bf \large \longrightarrow \: \: r \: = \: \frac{2}{2} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: r \: = \: \cancel\frac{2}{2} \: ^{1} \\ [/tex]
[tex]\large{\bf{{{\color{navy}{r \: = \: 1 \: ft. \: }}}}}[/tex]
☛ Now , Substuting the values[tex]\bf \hookrightarrow \: \: \: 2 \: \times \: 3.14 \times \: 1 \: ft \: \times \: 2 \: ft \: + \: 2 \: \times \: 3.14 \: \times \: {(1 \: ft)}^{2}[/tex]
[tex]\bf \hookrightarrow \: \: \:6.28 \: ft \: \times \: 2 \: ft\: \: + \: 6.28 \: ft[/tex]
[tex]\bf \hookrightarrow \: \: \:12.56 \: {ft}^{2} \: + \: 6.28 \: ft[/tex]
[tex]\bf \hookrightarrow \: \: \:18.84 \: {ft} \: ^{2} [/tex]
Hence , the surface area of cylinder is 18.84 ft²
Round to the nearest 10 of 18.84 is 18.8
in a classroom of 15 men and 12 women, 2 different homework papers were selected at random. find the probability that both papers belonged to women
Answers
Answer:
24 papers belongs to women
find the derivation of the given equation f (x) =7
pllz batao??
Answers
Answer:
0
Step-by-step explanation:
the derivative is zero since it has no variable
Answer:
0
Step by step explanation:
f'(x)=lim f(x+h)-f(x)/h
now since 7 is constant with no variable
f'(x)= lim(7-7)/h
f'(x)=0
Which number is divisible by 5? 99 45 83 94
Answers
Answer:
45
Step-by-step explanation:
because 5•9=45 so yeah that's the answer
For the given annual rate of change, find the corresponding growth or decay factor. + 300%
Answers
Answer:
50% growth would would be (1 + .5)^ n
and 100% growth would be (1+ 1)^n
I assume that the answer would be (1+3)^n
for 300% growth the factor would be 3
Step-by-step explanation:
Please help me out with this geometry
Answers
Answer:
[tex](x-[-7])^{2} +(y-[9])=[25][/tex]
Step-by-step explanation:
Center (h,k) = (-7, 9)
Radius, r = 5
Equation: [tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
[tex](x-(-7))^{2} +(y-9)^{2} =(5)^{2}[/tex]
[tex]5^{2} =25[/tex]
So, [tex](x-(-7))^{2} +(y-9)=25[/tex]
OAmalOHopeO
The table shows a set of conditional relative frequencies of drivers in a survey planning to buy a used vehicle next, based on how they obtained their current vehicle.
Which interpretation of the relative frequencies given is the most appropriate?
A. The greatest number of drivers who plan to buy used are those who leased their current vehicle.
B. The majority of drivers who will buy used next time bought their current vehicle used.
C. Of drivers who bought their current vehicle used, about 4 percent will buy new next time, almost 95 percent will buy used next time, and about 1 percent will lease next time.
D. Of drivers who bought new, 3.9 percent will buy used next time; of drivers who bought used, 94.8 percent will buy used again; of drivers who leased, 1.3 percent will buy used.
Answers
The majority of drivers who will buy used next time bought their current vehicle used. The correct option is B.
What are statistics?Any affiliations, financing, or financial holdings that could be seen as influencing the review's objectivity to give rise to potential bias.
Such elements might consist of, but are not limited to, the following: Employment, professional associations, paid consulting, and participation in groups that support relevant causes.
The given table is:-
Current vehicle Buy used
Bought new 0.039
Bought Used 0.948
Leased 0.013
Total 1.000
In the given table it is observed that the majority of drivers who will buy used next time bought their current vehicle used. The correct option is B.
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if 25 liters of milk can make 8 tin of cheese how many liters of milk would b needed to make 11 tin of cheese?
Answers
Answer:
Step-by-step explanation:
34.375 Liters of milk make 11 tins of cheese. Assuming that milk is available in whole liters only, 35 Liters of milk are needed.
I need help on the decimal estimate can you tell me step by step please
Answers
∴－√150≈12.25
Hope my answer helped u :)
The intersection of plane A and plane S will be
The intersection of lines n and k is
Point X is the intersection of
Answers
Answer:
bjbjbfbdvdjbfv
Step-by-step explanation:
fdbfdvbdjv
A team wishes to purchase 10 shirts of the same color. A store sells shirts in 3 different colors. What must the inventory of the store be in order to conclude that there are at least 10 shirts in one of the three colors?
Answers
Answer:
30
Step-by-step explanation:
Write this ratio as a fraction in simplest form without any units.
7 gallons to 40 quarts
Answers
9514 1404 393
Answer:
7/10
Step-by-step explanation:
In order to make the units cancel, they must be the same. There are 4 quarts in 1 gallon, so 40 quarts = 10×4 quarts = 10×(1 gal) = 10 gal.
Then the ratio is ...
(7 gal)/(10 gal) = 7/10
Page No 9s is it possible to have a triangle with following sides? 4.cm, 5cm, 6cm
Answers
Answer:
yes it's possible
Step-by-step explanation:
In any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. ... This sum must be greater than the length of the longest side.
Find the area If you get this correct i WILL GIVE YOU 100 POINTS
Answers
Answer:
Area of yellow portion =54 in
